Extended nonlocal chiral-quark model for the D- and B-meson weak-decay constants

Abstract

In this work, we construct a phenomenological effective model for the heavy-light quark systems, which consist of (u,d,c,b) quarks, i.e. extended nonlocal chiral-quark model (ExNLChQM) to compute the heavy-meson weak-decay constants f_D and f_B. ExNLChQM is based on the heavy-quark effective field theory as well as the dilute instanton-vacuum configuration. In ExNLChQM, a certain portion of the heavy-meson mass is considered to be generated from the nontrivial QCD vacuum contribution, being similar to that for the light quarks in usual instanton approaches. Hence, the effective heavy- and light-quark masses become momentum-dependent and play the role of a smooth UV regulator. Employing a generic external-field method applied to the effective action from ExNLChQM, we obtain f_D = (169.28 ~ 234.57) MeV and f_B = (165.41 ~ 229.21) MeV from the numerical results, depending on different model parameters. These values are in relatively good agreement with experimental data and various theoretical estimations. We also discuss the heavy-quark effects on the QCD vacuum, and the decay constants f_D^* and f_B^* in terms of the heavy-quark spin symmetry.